Solve for v |v|=6

$| v | = 6$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$v = \pm 6$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$v = 6$

Next, use the negative value of the $\pm$ to find the second solution.

$v = - 6$

The complete solution is the result of both the positive and negative portions of the solution.

$v = 6, - 6$